Math / Numbers & Operations

QuestionWhich expression has a quotient of 61? $2,914 \div 47$ $4,650 \div 75$ $3,276 \div 52$ $5,063 \div 83$

Studdy Solution

STEP 1

What is this asking? Which division problem gives us 61? Watch out! Don't rush!
It's easy to make small mistakes with long division, so take your time and double-check your work.

STEP 2

1. Divide 2914 by 47
2. Divide 4650 by 75
3. Divide 3276 by 52
4. Divide 5063 by 83

STEP 3

Let's divide $2914$ by $47$ .
We're doing this because the problem asks us to find which expression has a quotient of $61$ .

STEP 4

We ask ourselves, how many times does $47$ go into $291$ ?
It goes in $6$ times, because $6 \cdot 47 = 282$ .
Subtracting $282$ from $291$ leaves us with $9$ .
Bringing down the next digit, $4$ , gives us $94$ .

STEP 5

How many times does $47$ go into $94$ ?
It goes in $2$ times, because $2 \cdot 47 = 94$ .
Subtracting $94$ from $94$ leaves us with $0$ .

STEP 6

So, $2914 \div 47 = 62$ .
This isn't 61, so this isn't the answer we're looking for!

STEP 7

Now let's divide $4650$ by $75$ .
Remember, we're looking for a quotient of $61$ .

STEP 8

How many times does $75$ go into $465$ ?
It goes in $6$ times, because $6 \cdot 75 = 450$ .
Subtracting $450$ from $465$ leaves us with $15$ .
Bringing down the $0$ gives us $150$ .

STEP 9

How many times does $75$ go into $150$ ?
It goes in $2$ times, because $2 \cdot 75 = 150$ .
Subtracting $150$ from $150$ leaves us with $0$ .

STEP 10

So, $4650 \div 75 = 62$ .
Still not 61!
Let's keep going!

STEP 11

Let's divide $3276$ by $52$ .
We're getting closer to finding that 61!

STEP 12

$52$ goes into $327$ six times, because $6 \cdot 52 = 312$ .
Subtracting $312$ from $327$ leaves us with $15$ .
Bringing down the $6$ gives us $156$ .

STEP 13

$52$ goes into $156$ three times, because $3 \cdot 52 = 156$ .
Subtracting $156$ from $156$ leaves us with $0$ .

STEP 14

So, $3276 \div 52 = 63$ .
So close!
But still not 61.
Onwards!

STEP 15

Finally, let's divide $5063$ by $83$ .
This is the last one, so fingers crossed we find our 61!

STEP 16

$83$ goes into $506$ six times, because $6 \cdot 83 = 498$ .
Subtracting $498$ from $506$ leaves us with $8$ .
Bringing down the $3$ gives us $83$ .

STEP 17

$83$ goes into $83$ one time, because $1 \cdot 83 = 83$ .
Subtracting $83$ from $83$ leaves us with $0$ .

STEP 18

So, $5063 \div 83 = 61$ .
We found it!

STEP 19

$5063 \div 83$ has a quotient of 61.

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QuestionWhich expression has a quotient of 61? 2,914÷472,914 \div 472,914÷47 4,650÷754,650 \div 754,650÷75 3,276÷523,276 \div 523,276÷52 5,063÷835,063 \div 835,063÷83

Studdy Solution

STEP 1

What is this asking? Which division problem gives us 61? Watch out! Don't rush!It's easy to make small mistakes with long division, so take your time and double-check your work.

STEP 2

1. Divide 2914 by 472. Divide 4650 by 753. Divide 3276 by 524. Divide 5063 by 83

STEP 3

Let's **divide** 291429142914 by 474747.We're doing this because the problem asks us to find which expression has a quotient of 616161.

STEP 4

We ask ourselves, how many times does 474747 go into 291291291?It goes in 666 times, because 6⋅47=2826 \cdot 47 = 2826⋅47=282.Subtracting 282282282 from 291291291 leaves us with 999.Bringing down the next digit, 444, gives us 949494.

STEP 5

How many times does 474747 go into 949494?It goes in 222 times, because 2⋅47=942 \cdot 47 = 942⋅47=94.Subtracting 949494 from 949494 leaves us with 000.

STEP 6

So, 2914÷47=622914 \div 47 = 622914÷47=62.This isn't **61**, so this isn't the answer we're looking for!

STEP 7

Now let's **divide** 465046504650 by 757575.Remember, we're looking for a quotient of 616161.

STEP 8

How many times does 757575 go into 465465465?It goes in 666 times, because 6⋅75=4506 \cdot 75 = 4506⋅75=450.Subtracting 450450450 from 465465465 leaves us with 151515.Bringing down the 000 gives us 150150150.

STEP 9

How many times does 757575 go into 150150150?It goes in 222 times, because 2⋅75=1502 \cdot 75 = 1502⋅75=150.Subtracting 150150150 from 150150150 leaves us with 000.

STEP 10

So, 4650÷75=624650 \div 75 = 624650÷75=62.Still not **61**!Let's keep going!

STEP 11

Let's **divide** 327632763276 by 525252.We're getting closer to finding that **61**!

STEP 12

525252 goes into 327327327 six times, because 6⋅52=3126 \cdot 52 = 3126⋅52=312.Subtracting 312312312 from 327327327 leaves us with 151515.Bringing down the 666 gives us 156156156.

STEP 13

525252 goes into 156156156 three times, because 3⋅52=1563 \cdot 52 = 1563⋅52=156.Subtracting 156156156 from 156156156 leaves us with 000.

STEP 14

So, 3276÷52=633276 \div 52 = 633276÷52=63.So close!But still not **61**.Onwards!

STEP 15

Finally, let's **divide** 506350635063 by 838383.This is the last one, so fingers crossed we find our **61**!

STEP 16

838383 goes into 506506506 six times, because 6⋅83=4986 \cdot 83 = 4986⋅83=498.Subtracting 498498498 from 506506506 leaves us with 888.Bringing down the 333 gives us 838383.

STEP 17

838383 goes into 838383 one time, because 1⋅83=831 \cdot 83 = 831⋅83=83.Subtracting 838383 from 838383 leaves us with 000.

STEP 18

So, 5063÷83=615063 \div 83 = 615063÷83=61.We found it!

STEP 19

5063÷835063 \div 835063÷83 has a quotient of 61.

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QuestionWhich expression has a quotient of 61? $2,914 \div 47$ $4,650 \div 75$ $3,276 \div 52$ $5,063 \div 83$

What is this asking? Which division problem gives us 61? Watch out! Don't rush!
It's easy to make small mistakes with long division, so take your time and double-check your work.

1. Divide 2914 by 47
2. Divide 4650 by 75
3. Divide 3276 by 52
4. Divide 5063 by 83

Let's divide $2914$ by $47$ .
We're doing this because the problem asks us to find which expression has a quotient of $61$ .

We ask ourselves, how many times does $47$ go into $291$ ?
It goes in $6$ times, because $6 \cdot 47 = 282$ .
Subtracting $282$ from $291$ leaves us with $9$ .
Bringing down the next digit, $4$ , gives us $94$ .

How many times does $47$ go into $94$ ?
It goes in $2$ times, because $2 \cdot 47 = 94$ .
Subtracting $94$ from $94$ leaves us with $0$ .

So, $2914 \div 47 = 62$ .
This isn't 61, so this isn't the answer we're looking for!

Now let's divide $4650$ by $75$ .
Remember, we're looking for a quotient of $61$ .

How many times does $75$ go into $465$ ?
It goes in $6$ times, because $6 \cdot 75 = 450$ .
Subtracting $450$ from $465$ leaves us with $15$ .
Bringing down the $0$ gives us $150$ .

How many times does $75$ go into $150$ ?
It goes in $2$ times, because $2 \cdot 75 = 150$ .
Subtracting $150$ from $150$ leaves us with $0$ .

So, $4650 \div 75 = 62$ .
Still not 61!
Let's keep going!

Let's divide $3276$ by $52$ .
We're getting closer to finding that 61!

$52$ goes into $327$ six times, because $6 \cdot 52 = 312$ .
Subtracting $312$ from $327$ leaves us with $15$ .
Bringing down the $6$ gives us $156$ .

$52$ goes into $156$ three times, because $3 \cdot 52 = 156$ .
Subtracting $156$ from $156$ leaves us with $0$ .

So, $3276 \div 52 = 63$ .
So close!
But still not 61.
Onwards!

Finally, let's divide $5063$ by $83$ .
This is the last one, so fingers crossed we find our 61!

$83$ goes into $506$ six times, because $6 \cdot 83 = 498$ .
Subtracting $498$ from $506$ leaves us with $8$ .
Bringing down the $3$ gives us $83$ .

$83$ goes into $83$ one time, because $1 \cdot 83 = 83$ .
Subtracting $83$ from $83$ leaves us with $0$ .

So, $5063 \div 83 = 61$ .
We found it!

$5063 \div 83$ has a quotient of 61.